Decentralized Systems with Design Constraints by Magdi S. Mahmoud

Author:Magdi S. Mahmoud
Language: eng
Format: epub, pdf
Publisher: Springer London, London

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where for j∈{1,…,n s }, is the state vector, is the control input, is the control output, is the disturbance input which belongs to ℓ 2[0,∞), is the performance output and is the coupling vector. The matrices , , , , , , , , , are real and constants. The initial condition , j∈{1,…,n s }. In the sequel, we treat c j (k) as a piecewise-continuous vector function in its arguments and satisfies the quadratic inequality

(5.84)

where φ j >0, ψ j >0 are adjustable bounding parameters and , are constant matrices. The factors d j (k), j∈{1,…,n s } are unknown time-delay factors satisfying

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